Inverse Cosine Addition Formula

Rarely Tested

Inverse Cosine Addition Formula

## Formula

$$\cos^{-1}x+\cos^{-1}y=\cos^{-1}\left(xy-\sqrt{(1-x^2)(1-y^2)}\right)$$

provided the principal-value condition is satisfied.

## Usage

- Used to combine two inverse cosine expressions.

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